It's very interesting because velocity seems to require two different times to define it -- the initial time and the final time.

这非常有趣,因为速度似乎需要两个时间才能算出来,初时刻和末时刻

耶鲁公开课 - 基础物理课程节选

Then, you've got to say, "What do I have to know about this object at the initial time?

然后,也许你会问,我需要知道物体初始状态的哪些信息呢

耶鲁公开课 - 基础物理课程节选

Simply knowing the acceleration is not enough to tell you where it was at the initial time.

仅仅知道加速度是,不足以告诉你它在初始时刻的位移的

耶鲁公开课 - 基础物理课程节选

So the meaning of the constant is where was the object at the initial time.

常数的含义是,物体的初位移

耶鲁公开课 - 基础物理课程节选

You get to pick where it was at the initial time.

你需要选取初始时刻的位移

耶鲁公开课 - 基础物理课程节选

Conversely, if I knew the velocity of this object, I also know what time it is, provided I knew the initial velocity.

反过来,如果我知道了这个物体的速度,我也同样可以知道时间,只要初速度是已知的

耶鲁公开课 - 基础物理课程节选

Second formula tries to relate the final velocity of some time, t, to the initial velocity and the distance traveled with no reference to time.

第二个式子能把某段时间t的末速度,和初速度,经过的路程联系在一起,并且不引入时间

耶鲁公开课 - 基础物理课程节选

I think you can tell by analogy with what I did in one dimension that the position of that object at any time t is going to be the initial position plus velocity times t plus one half a t square.

你们可以类比一下我在一维情况下的结论,这个物体在任意时刻 t 的位移,等于初始位移,加上 v ? t + 1/2 ? a ? t^2

耶鲁公开课 - 基础物理课程节选